scholarly journals Existence of solutions to first-order periodic boundary value problems

2006 ◽  
Vol 323 (2) ◽  
pp. 1325-1332 ◽  
Author(s):  
Christopher C. Tisdell
Keyword(s):  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
First Order ◽  
Periodic Boundary Value Problems

scholarly journals Periodic Boundary Value Problems for First-Order Impulsive Functional Integrodifferential Equations with Integral-Jump Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Chatthai Thaiprayoon ◽  
Decha Samana ◽  
Jessada Tariboon
Keyword(s):  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Integrodifferential Equations ◽  
Jump Conditions ◽  
Comparison Result ◽  
First Order ◽  
Monotone Iterative ◽  
Periodic Boundary Value Problems ◽  
Minimal And Maximal Solutions

By developing a new comparison result and using the monotone iterative technique, we are able to obtain existence of minimal and maximal solutions of periodic boundary value problems for first-order impulsive functional integrodifferential equations with integral-jump conditions. An example is also given to illustrate our results.

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